327400037172 has 288 divisors, whose sum is σ = 961470881280. Its totient is φ = 93040496640.

The previous prime is 327400037149. The next prime is 327400037177. The reversal of 327400037172 is 271730004723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327400037177) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108733147 + ... + 108736157.

It is an arithmetic number, because the mean of its divisors is an integer number (3338440560).

Almost surely, 2^327400037172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327400037172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480735440640).

327400037172 is an abundant number, since it is smaller than the sum of its proper divisors (634070844108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

327400037172 is a wasteful number, since it uses less digits than its factorization.

327400037172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 327400037172 in words is "three hundred twenty-seven billion, four hundred million, thirty-seven thousand, one hundred seventy-two".